What is the Greatest Common Factor of 70926 and 70932?

Greatest common factor (GCF) of 70926 and 70932 is 6.

GCF(70926,70932) = 6

We will now calculate the prime factors of 70926 and 70932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70926 and 70932.

How to find the GCF of 70926 and 70932?

We will first find the prime factorization of 70926 and 70932. After we will calculate the factors of 70926 and 70932 and find the biggest common factor number .

Step-1: Prime Factorization of 70926

Prime factors of 70926 are 2, 3, 11821. Prime factorization of 70926 in exponential form is:

70926 = 2¹ × 3¹ × 11821¹

Step-2: Prime Factorization of 70932

Prime factors of 70932 are 2, 3, 23, 257. Prime factorization of 70932 in exponential form is:

70932 = 2² × 3¹ × 23¹ × 257¹

Step-3: Factors of 70926

List of positive integer factors of 70926 that divides 70926 without a remainder.

1, 2, 3, 6, 11821, 23642, 35463

Step-4: Factors of 70932

List of positive integer factors of 70932 that divides 70926 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 257, 276, 514, 771, 1028, 1542, 3084, 5911, 11822, 17733, 23644, 35466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70926 and 70932. The biggest common factor number is the GCF number.
So the greatest common factor 70926 and 70932 is 6.

Also check out the Least Common Multiple of 70926 and 70932